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Post by Admin on Jan 3, 2018 7:57:02 GMT
Mathematicians use different notations for logarithms and especially the complex logarithm.
On pages 98 and 99 Needham introduces the notation $ln$ for the natural logarithm of a real number and $\log z$ for the multifunction logarithm of a complex number, and then $\text{Log} z$ as the notation for the principle branch or principle value of $\log z$.
To be consistent with this notation it seems to me that part (iii) of this exercise should refer to $\log$ rather than $\ln$.
Vasco/Admin
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Gary
GaryVasco
Posts: 3,352
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Post by Gary on Jan 3, 2018 14:49:27 GMT
Mathematicians use different notations for logarithms and especially the complex logarithm. On pages 98 and 99 Needham introduces the notation $ln$ for the natural logarithm of a real number and $\log z$ for the multifunction logarithm of a complex number, and then $\text{Log} z$ as the notation for the principle branch or principle value of $\log z$. To be consistent with this notation it seems to me that part (iii) of this exercise should refer to $\log$ rather than $\ln$. Vasco/Admin Vasco, I noticed that and thought perhaps I had gotten them mixed up, but I deemed it more important to continue working on the problem than to review the nomenclature. I never got back to it. Gary
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